Asymptotic Analysis of Evolution Equations
July 3 -7, 2017
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This meeting will be the final conference of the French National Research Agency « ANR ANAÉ » (Asymptotic Analysis of Evolution Partial differential Equations) that will terminate at the end of 2017.
Its goal is to spread some of the results obtained during the four years of the project, and to discuss some of the achievements obtained by the community of dispersive equations at large, regarding its main themes. These include the study of instability phenomena related to energy transfer from low to high frequencies in non-linear dispersive equations, problems of existence of solutions for equations with random data, questions of global existence for some equations stemming from physics, notably the “water waves” equation, as well as explosion phenomena for wave or Schrödinger type equations. The organizers also plan to widen the discussion, inviting some speakers at the interface of dispersive equations and related subjects, like infinite dimensional dynamical systems or hydrodynamics. |
Scientific & Organizing Committee
Nicolas Burq (Université Paris-Sud) |
Timothy Candy (Université de Bielefeld) Scattering for the Cubic Dirac equation (pdf)
Charles Collot (Université de Nice) On dynamics near the ground state for the energy critical semi-linear heat equation
Thibault de Poyferré (École normale supérieure de Paris-Saclay) Gravity water waves and emerging bottom
Erwan Faou (INRIA et Université de Rennes 1) On the long time stability of travelling wave for discrete nonlinear Schrödinger equations
Sandrine Grellier (Université d’Orléans) Various aspects of the dynamics of the cubic Szegő equation (pdf)
Stephen Gustafson (University of British Columbia) Asymptotic behaviour for Landau-Lifshitz and nonlinear heat equations (pdf)
Zaher Hani (Courant Institute NYU) Effective dynamics of nonlinear Schrödinger equations on large domains
Sebastian Herr (University of Bielefeld) Nonlinear Dirac equations and systems
Cécile Huneau (Université Grenoble Alpes) High frequency back reaction for the Einstein equations
Mihaela Ifrim (University of California, Berkeley) The Benjamin-Ono equation (pdf)
Jacek Jendrej (University of Chicago) Two-bubble dynamics for threshold solutions to the wave maps equation
Joachim Krieger (École polytechnique fédérale de Lausanne) On stability properties of type II solutions (pdf)
Fabricio Macià (Universidad Politécnica de Madrid) Dynamics, dispersion and control of Schrödinger equations
Tadahiro Oh (University of Edinburgh) On the transport property of Gaussian measures under Hamiltonian PDE dynamics (pdf)
Benoît Pausader (Brown university) Global stability of Minkowski space for the Einstein equation with a massive scalar field (pdf)
Annalaura Stingo (Université Paris 13) Global existence of small Solutions for the Cubic 1D Klein-Gordon Equation (pdf)
Daniel Tataru (University of California, Berkeley) Geometric heat flows and caloric gauges
Joseph Thirouin (École normale supérieure, Paris) Optimal estimates on the growth of Sobolev norms for a quadratic Szegő equation
Luis Vega (BCAM & University of the Basque country) Singular perturbations of Dirac Hamiltonians: self-adjointness and spectrum (pdf)
Monica Visan (University of California, Los Angeles) A discrete Hasimoto transform and applications
Sijue Wu (University of Michigan, Ann Arbor) On two dimensional gravity water waves with angled crests (pdf)
Christian Zillinger (University of Southern California) On mixing for circular flows (pdf)